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Course Information

Course Name
English Real Analysis I
Course Code
MAT 502E Credit Lecture
Semester -
3 - - -
Course Language English
Course Coordinator İbrahim Kırat
Course Objectives 1. To teach the basic topics of Real Analysis,
2. To teach the basic methods of proof and to develope the ability to solve theoretical problems.
Course Description Theory of Functions of a Real Variable: The Extended Real Numbers, Continuous Functions, Borel Sets
Lebesgue Measure and The Lebesgue Integral: Littlewood’s Three Principles, The General Lebesgue Integral, Convergence in Measure
Differentiation and Integration: Functions of Bounded Variation, Differentiation of an Integral,
The Classical Banach Spaces: The Lp Spaces.
Course Outcomes A student completing this course succesfully is expected to have learned the topics:

I. Basic Concepts of Real Analysis
II. Theory of Functions of a Real Variable,
III. Lebesgue Measure and the Lebesgue Integral,
IV. Differentiation and Integration,
V. The Classical Banach Spaces.
Required Facilities
Textbook . Royden, H. L., (1988). Real Analysis, Prentice-Hall, Inc., 3. sürüm.
Other References
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